{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n",
      "  warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n",
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n",
      "  warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "import seaborn as sns\n",
    "palette = 'muted'\n",
    "sns.set_palette(palette); sns.set_color_codes(palette)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NpdVqmDIqhbhoHcv+l8+hMxVN9tzNiSqSGW+1mQAKCgq49dZbsdtlFOFccRV2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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff2437f3470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu_params = [-1, 0, 1]\n",
    "sd_params = [0.5, 1, 1.5]\n",
    "x = np.linspace(-7, 7, 100)\n",
    "f, ax = plt.subplots(len(mu_params), len(sd_params), sharex=True, sharey=True)\n",
    "for i in range(3):\n",
    "    for j in range(3):\n",
    "        mu = mu_params[i]\n",
    "        sd = sd_params[j]\n",
    "        y = stats.norm(mu, sd).pdf(x)\n",
    "        ax[i,j].plot(x, y)\n",
    "        ax[i,j].plot(0, 0, \n",
    "        label=\"$\\\\mu$ = {:3.2f}\\n$\\\\sigma$ = {:3.2f}\".format(mu, sd), alpha=0)\n",
    "        ax[i,j].legend(fontsize=12)\n",
    "ax[2,1].set_xlabel('$x$', fontsize=16)\n",
    "ax[1,0].set_ylabel('$pdf(x)$', fontsize=16)\n",
    "plt.tight_layout()\n",
    "plt.savefig('B04958_01_01.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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B4HC8hOagDXYbg2Zl+2F5vcJIXA4YjJ0Lvcoo50xegKjUNE60xKDW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff23f76b2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.genfromtxt('mauna_loa_CO2.csv', delimiter=',')\n",
    "plt.plot(data[:,0], data[:,1])\n",
    "plt.xlabel('$year$', fontsize=16)\n",
    "plt.ylabel('$CO_2 (ppmv)$', fontsize=16)\n",
    "plt.savefig('B04958_01_02.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2YuPGdJ59djIrVqymadOmP3O24i1M5V2zZs0YNOg3jBhxDwcO/C9PPvkoHTp0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\nBrCOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff243307438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_params = [1, 2, 4]\n",
    "p_params = [0.25, 0.5, 0.75]\n",
    "x = np.arange(0, max(n_params)+1)\n",
    "f, ax = plt.subplots(len(n_params), len(p_params), sharex=True, \n",
    "  sharey=True)\n",
    "for i in range(3):\n",
    "    for j in range(3):\n",
    "        n = n_params[i]\n",
    "        p = p_params[j]\n",
    "        y = stats.binom(n=n, p=p).pmf(x)\n",
    "        ax[i,j].vlines(x, 0, y, colors='b', lw=5)\n",
    "        ax[i,j].set_ylim(0, 1)\n",
    "        ax[i,j].plot(0, 0, label=\"n = {:3.2f}\\np = {:3.2f}\".format(n, p), alpha=0)\n",
    "        ax[i,j].legend(fontsize=12)\n",
    "ax[2,1].set_xlabel('$\\\\theta$', fontsize=14)\n",
    "ax[1,0].set_ylabel('$p(y|\\\\theta)$', fontsize=14)\n",
    "ax[0,0].set_xticks(x)\n",
    "plt.savefig('B04958_01_03.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5D8fPezhdUsepJtsxKwqkJRjJTDaRmWwkI9FERpKRtAQjjkh9CKERg17hmtw4\nrsmNo7zGz+5jtew56uRovocj+R7+sK2cxFg9IwfGMLx+JCcjySiN8m4QdUP67REMhSis8HGqqI6z\nJV7Ol3sprPRRWuXHF+j4v0GvA4tRh9mkw2xUMBsUjAYdJoOC0aBg1CvodQoGvRIOGrEmvHV+dLpw\nT1mnU2iIBeF7VaHhlg3V/xsKQTAUDlbBEIRC4eFMo8mI0+XFHwg1vnyBED5/CK8/hNcfpM4Xos4X\nxOMNdfrzJNsMpCaEh7uzUkwMSTWTlWLCoO98ZYrkkH5HtDWM5vYGKav2UVbjp7wmQGV9Q6jaGaDK\n5afGHaTGHWgcOu4KJoOCxaTDYlQwG3WY6n+G75nw/WIyKMTbzfi9fkxGpdk91HBPGfQKJn34p7H+\nvbH+ffhF4+9pqfaoHtJvoDPDov5AiLOl3vp6XsfZUi9nS72tammP1eOorwOO+PCoT4rdQIrdQJLN\n0KX1AVofTlaTi/E5q11+9p10sf+Um4Nn3c06JlazjqHpZrIbRnIcZhwJhl6pBzKk30fRKQoDkkzh\nhSEjL/w9FApR4w6C0cTJc9VUuwJUuwLUeoI4PYH6nnIQtzeIxxsOrLXuAGW+cMCNdIvJqFcag4ot\nRo/DrsNiDvc+rWYdsRYdcTHhXmp8rJ54q55hg+MJeDz9tjcaY9KRlWImK6X9aQp/IITTE74XjBYz\n+UW1uDwX7oem90XDT48vRJ03iMcXpNbjp84XbFxb0FvodTRrbBq+0fi88LuCQQf6+t8bjjX8rtMp\nxJh0LPxX9RtxFwuDXiE7LRwMGgiFQlQ5A5wv93K+PDzCU1jho7TGz6niOk4Utp6gyRajI8lmICnO\nEJ72aZz+0RMfG/5pj9H323rUm9itBiZdamfSpXZCoRD5ZT6O5rs5et7DiYK6ZlM5EG5oD06zkBqv\nZ0CSifREI+kJRlITjJhlSgfQYMAPhUI8/fTTHDlyBJPJxAsvvMDAgQN79ZqKomC36nE4rNiNXXuG\nPxQKEQiCzx/uVfsDIQLBEP5giPh4K6VlTgLBpj32+gZCiMafYSegvtOPTlGajQjodeBIiaOq0oVe\nr2Bs0rPr7jRDSryJEq9koesIg14hPtZAfCw4HHGkxnaveecPhEdfvP4QXl+IOn+Q2LgYikudeP3B\nxpGahvvomz8bRnS+OcLT8Lui0+GuCxAIhO+9QP3f3f4L92QgCP5geBSpIxb+a7c+pmZRFIWEOAMJ\ncQZGDbqAnkV5AAAgAElEQVTwd4fDRmFReNFYSZWf0mofpdV+ymr89aM/fgrKfZwubvtxKkUBW4ye\nJLsRq0nBHqPHbg2/bPXTQrYYff1Lh9Ws79IImhDWLyslPAr57fqkWrXuAKeK6zhdHB6xPVvq5WSh\nh2P5LW/w+Fh9s3U7ybbwCE5CrJ6kOAM2q75f7ACouYD/0Ucf4fV6ycvLY9++fSxZsoRXX3010m61\niaJcGFqN+cYxhyMGq86vynUcDgtmJKNYXyXcQNMT2+RvDkcsyTHqdP27MlwYDIUIBKhvBFxoDASC\n4b+3s+VFVKLXKTjijTjijdCiFocb6a66IBW1fsprA1TWhqd/qpzhqaBqV4BKZ4CSSi9OT+f0jDHp\niIvREWvRE2cJ/4y16Ig1N4zK6clIDeCvq8Nq1jeuI7Kadf0iMHWGuBg9owdbGT34wlbbSUlxHDhR\nTkH9KE7Dmp2SKh9fF9ZxvKD1To6i0KKhZrfqSUt2ogT9YW0s+kZ9rPXrdoyGvrOuCzQY8D///HMm\nTZoEwOWXX85XX30VYY8EIbrQKQo6AxjpO19UkURRlPqArCcrpe1yDoeN8wXV1LjDU4LV7gA1rgA1\nnkB40aw7vHi21h2eIqr1BMgv9baz3qak1b+ajQpW04Vpu4ZFozFNfzfrsBh1xJjCUzQ39cI6Gy2i\n1yvhRZmJLZ/nDwRDVNReGLkpr/FTURtutIUbbwFKqn2cbZakq6r969Wv67LUL9ptXKtjbFirc2GN\nV7ytBp/Xd2ENTv00m04HhiZTak1HdxUlfP8pNPwevu6UaJnDr62txWa78GEMBgPBYBCdTuZgBEHQ\nNkaDEp7zt3X+q9XrD+KsXy/krF8f4qwLohiMFJe5cHrq14t4gri8Adz1a4pqXAGKK32dWh9y07fS\ne/CpogO9TqlflGlst5zXH2xctGswmzlXWNuoTcOarm+u3/F4Q1Q6A3h9nVsA3lOmXJXWrfM0t0r/\nxRdfZOzYsdx8880ATJkyhS1btkTWKUEQBEHo42iu23zllVeydetWAPbu3Utubm6EPRIEQRCEvo/m\nevhNV+kDLFmyhOzs7Ah7JQiCIAh9G80FfEEQBEEQ1EdzQ/qCIAiCIKiPBHxBEARB6AdIwBcEQRCE\nfoAEfEEQBEHoB0jAFwRBEIR+QMQD/r59+5gzZw4AZ86cYdasWcyePZtnnnkmwp4JgiAIQvQQ0YC/\nZs0aFi9ejM8XTgqzZMkSHnjgAdavX08wGOSjjz6KpHuCIAiCEDVENOAPHjyYV155pfH9gQMHGDdu\nHACTJ09m586dkXJNEARBEKKKiAb8qVOnom+Si7PpHkCxsbHU1HQu3acgCIIgCO0T8Tn8pjTNiOd0\nOrHb7R2eIxsFRh+iaXQhekYXomffRVPpcUeNGsWePXu4+uqr+eSTTxg/fnyH5yiKQkmJOiMBDodN\nNVtq29O6b2qiVU21roHavqmFVvVU257WfVMLNfWE/qVBpPXUVMBftGgRTz75JD6fj5ycnMYUuYIg\nCIIg9IyIB/zMzEzy8vIAGDJkCOvWrYuwR4IgCIIQfWhqDl8QBEEQhN5BAr4gCIIg9AMk4AuCIAhC\nP0ACviAIgiD0AyK+aE/oOS+88DQ5OcO47bbZrR7fseNTVq9+Bb/fR07OJTz66JOArc1jVqv1Inov\ntEZXNV227KU2j4mmkUfqaPTRF+uo9PD7MKdPn2LBgnls2fJxm2UqKytZsuRZfvWrX7Nhw5/IyBjA\nqlUrOzwmRIbuarps2bI2j4mmkUPqaPTRl+uo5nr4fr+fRYsWkZ+fj8Fg4LnnniM7OzvSbqnC3/++\nE7/fT2VlBdOnfx9FUQgEAs22F/7ss9288soKFEVpdu6jjy4iN3dMs79t2vRHbrnlB6Slpbd5zd27\ndzFy5KVkZmYBcOutP2Lu3Jm8+OLzbR578MFFan3kqEcrmt555yzmz39ANO0hWtFT6qh6aEVTLdRR\nzQX8rVu3EgwGycvLY8eOHSxfvpyXX3450m71mFdf/S1jxlzBxImT2bp1M+vWvc7YsVeSnp5Bampa\nY7lx467h9dffbnF+a7s0LVz4CBC+WduiuLiwmX2HIxWXy4XT6WzzmMvlkiHDTqAlTZ1OJy6XSzTt\nAVrSU+qoOmhJUy3UUc0F/CFDhhAIBAiFQtTU1GA0GiPtUo85ePArDh48wPz5CwAYOnQYeXnrSUtL\nZ8yYsc3KNrQ0m6IoSqstzc4QCoVatFoB9Hp9O8dkpqcjtKmpTjTtJtrUU+poT9CmppGto5oL+LGx\nsZw7d46bb76ZyspKVq9e3eE5au4Trfa+8A6HjRMnDnH99ZMabXu9CRQWFjB58rUtrjdt2o1Mm3Zj\nl65hsRiJi7O06vuwYUM4fvxw47H8/HzsdjsWi6XNY1lZju58VFXRqqYNtrSoaVaWQ7OaalXPBnta\n1FPLdbQ3NFDblhY1jXQd1VzAf+ONN5g0aRILFy6kqKiI22+/nffeew+TydTmOVpMbtDUXkbGYL78\ncm+j7V27/kFSUgqhkJn8/LJ2P1tnfPN4fNTWelo9PmLEWF588UX27j1EZmYWr7++jgkTJrd7rKv/\nB2pXftCmpk1taU3TG2+8kZKSGs1qqkU9m9rTmp5ar6N9IUGN1jRVs45GRfIcgPj4eAyGsFs2mw2/\n308wGIywVz1j3LhrcDqdbN++DYBrrhmPx+Ph73/fwZQpXWtVdpaHH17AD3/4IyZMmMRjjz3FE088\ngt/vJzMzk8WLnwUgMTGxzWNC+2hN0xUr/p26OtG0u2hNT6mjPUdrmmqhjiohjSU3drlcPP7445SU\nlOD3+7njjjuYPn16u+dovfegNVtq2+uPPXyt2dNyelzQpp5q29O6b2qi5c/ZH3yLmh6+1WplxYoV\nHRcUBEEQBKHTyFJPQRAEQegHSMAXBEEQhH6ABHxBEARB6Adobg4/2vH7/ezatQOAlBQHI0aM7Jad\nziZfWLlyOVu2fEx8fDwAAwcO5plnftUlG0L7qKVpA5JoJbKopecHH/yF3/9+PTqdgtlsYcGCh1q1\n1Z5moqc6qKXpxo1/4J13NqLT6RgwIItFixaTkJDQopxW66j08C8idXUeNm/+kIkTJzNx4mTWrn2t\nW3a6knzhwIH9PPPMEtau3cDatRsag315ebkk5VABtTQFSbSiBdTS88yZ06xatZLly/+DtWs3cPvt\nd/HEEw+3KNeeZlJH1UEtTY8cOUxe3tusXv0Gb76ZR1bWQNasWdWinJbrqCYD/muvvcZtt93GjBkz\n2LhxY6TdUY0tWzbzne9MA8DprKW2tvkjGp99tps775zFXXf9pNlrz55dzcq1lnzhww//2uJ6Pp+P\no0ePkJe3jrlzZ7F48SMUFRUCsH379k7ZENpHLU3hQlKOG264qc3rtad9Z+8LoW3U0tNkMrFo0WIS\nE5MAGDFiJBUV5fj9/mbl2tNM6qg6qKXp8OEjyMvbhNVqpa6ujpKSYuz2+BbX03Id1dyQ/u7du/ni\niy/Iy8vD5XKxdu3aSLukCj6fD7PZzNdfH2f//i/Ztm0L9933i2Zl2krg8E06m3yhtLSEceOu5mc/\nu5+srIG8/fY6HnvsQdau3UBBQYEk5eghamoKkmgl0qipZ3p6BunpGY3vV65czsSJ1zduKtZAe5pJ\nHe05atdRvV7Ptm1beOml5zGZzPz0p/NalNFyHdVcwP/000/Jzc1l/vz5OJ1OHnnkkUi7pAr79+9j\n9OjLqa6uxGw243TWUlVV1axMWwkc5s27n+nTpzb+rbPJFzIyBrB06QV7s2bN4c0311BYWCBJOVRA\nTU07iyRa6T16Q0+Px8Pzzz9FaWkJv/lNy6yfWk2yEi30hqaTJk1h0qQpvPfeOyxceC9//OO7zY5r\nuY5qLuBXVFRw/vx5Vq9ezdmzZ5k3bx7vv/9+pN3qMaWlJVx55ThSUlIYOnQYTqeTAwf2c+21ExrL\ndLalmZaWzsGDXzW+LykpxmazYTZbmpU7ceI4x48f5bvfDe9U2LCposFgICMjgz17Pu/QhtA2amra\nWdrS3mKxdPq+EFpHbT0LCwt59NEHyM4eysqVq1vN/NmeZlJHe46amubnn6OsrLQx094tt/yAZcuW\nUF1djd1ubyyn5TqquYCfkJBATk4OBoOB7OxszGYz5eXlJCUltXmO1jNxAfj97ma2T506xvTp07t0\nvYay06bdxKpVL+N2VzBo0CDWrfsvbrrppha2KivjWLDg37nhholkZmayYcMGRowYwciRQ0lLS2Dp\n0qUd2ogUWtW0qS01NW1Ke1m42tK+vWNa0FSreja1p6aeVVVVLFjwb8yYMYN77723zfLtaTZx4kTN\n1tG+kC0P1NX09Gknzz67mHfffZeEhATeeecdcnNzycnJbFZey3VUcwH/qquuYt26dcydO5eioiI8\nHg+JiYntnqPFvY6b2nO5nGzduo2pU7+P0Wjk8OGDhEJ6Ro68otPXa+6bkUWLnmTevHubJV9oON40\ngcPPf/4Q99zzU4LBEKmpqTzxRLicw5HUro2ufk610aKmTW2pr+kFWsvC1VTT1nQDCATavy+6+lnV\nRIt6NrWntp5vvfUGhYWFvP/+B/z1r+ERSkVRWLFiFXa7vUM9tV5H+8J+9WprOnjwcGbPvpOZM2dh\nMBhISXHw3HNLW/3e7e062l09NZc8B2DZsmXs2rWLUCjEgw8+yHXXXdduea1/mezc+Sk5OZewb98X\nmExmdDqFSZOmaMI3tWypjRY1bWpLa5pK8pye2dOanmrb06qeIHW0u7a6g+Z6+AAPPfRQpF1Qlerq\nalJT05g69eZIuyKohGgaXYie0Ydo2hJZ7nkRyMwcGGkXBJURTaML0TP6EE1bIgH/IjB69GWRdqFX\nKK32caLAE2k3IkK0atpfET2jD9G0JZoc0hf6Bm98VMrRfDf/M8YRaVcEQRCEDpAevtBtSqp8GA0t\nN5EQBEEQtIcEfKHbVDj9JMbJIJEgCEJfQLMBv6ysjClTpnDy5MlIuyK0gtsbxOMNkRArAV8QBKEv\noMmA7/f7eeqpp7BYZAtJrVLpDGf9SozTR9gTQRAEoTNoMuC/9NJLzJw5k9TU1Ei7IrRBVW0AgHjp\n4QuCIPQJNBfwN23aRHJyMhMmTECDmwAK9VRID18QBKFPobmtdWfPnt2YPvDw4cNkZ2ezatUqkpOT\nI+yZ0JSN24pZ85fz/HJONteOio+0O4IgCEIHaG48dv369Y2/z5kzh2effbbDYK/FvY7Vtqc1384V\nOQHQBbxqudQMLf6/aU2D3rLVYE9NtPw5+4tvaqLlz9kffOuunpob0m9KQ09f0B6V9XP4skpfEASh\nb6Dpb+u33nor0i4IbXC+3ItRrxAfK3P4giAIfQFN9/AFbeL2Bjlb6iU73YxeJ6MwgiAIfQEJ+EKX\n+brQQygElwyQfRIEob9RUF4nT1D1UTQ9pC9ok2PnwxnyJOALQv/jrl8fIiPRyA1j7EwcZSMuRqb1\n+grSwxe6zIHTbgCGZUjAF4T+xrfHJlJS7ePtrWUseO00//mXIg6fc0uvvw8gPXyhSxRWeDmS72HU\nwBjsVmnZC0J/4+EfD2bGtfFsO1DD376sZsfhWnYcriUtwcj1o21MGGWTpFoaRVQRusQnX4WfI508\nWt3negVB6DvYYvRMH5fAtKviOXLOw5b91ew55uSPn5bz39vLGTPEysRRNq7IsWIyyECyVtBcwPf7\n/Tz++OPk5+fj8/n42c9+xre//e1IuyUQTpjz4d4qbDE6rhoWG2l3BEGIMIqiMGJgDCMGxjDHE2DX\nkVq2fVXDvpMu9p10YTXruCY3lutG2sjNtKCTvVUiiuYC/p///GcSExNZunQplZWV3HrrrRLwNUAo\nFCJvaxl1vhAzJydjNkqrXRCEC8Ra9Nx4eTw3Xh7PuVIv2w/WsONwDVv2h19JNgPXDo9j/Ig4BjlM\nsrFaBNBcwJ82bRo333wzEA4yBoPmXOyXbK6fqxuaZub6y+yRdkfoQ+T9rYhYQ4DUBCNpCUZiLbL2\nI9rJSjHx48nJ/MvEJA6dc7PjUC2fHXPyv59V8r+fVZKRaORbw+O4JjcOhyPS3vYfNJc8p4Ha2lrm\nz5/PbbfdxvTp0yPtTr/m/T1lvPw/Z7HF6Hn5vlzSEs2RdknoQ0x7bG+z93ExejKSTGQkmxmQbG78\nPSPJRJLNiE42c4pKvL4gu49Us3VfBbsPV+P1h0PPwFQzEy9N4LrR8eRkxEjPvxfRZMAvKCjgvvvu\nY/bs2dx6660dltdicgO17UXCN483yO8/KeNvX1YTa9Gx6EcDGJLaMtirnZgDtKlpf7s/1GL34SqO\nna6muMpPUaWP4iofJVU+/IGWZU0GBUe8gdQEI6nx4RGBhp/JdgMZ6fZ+pUGkk620RU/98niD7P3a\nyd+POtl/ytUY/FPsBq4aFsuVObHkZlq6vJOn1jWItJ6aGy8vLS3l7rvv5pe//CXjx4+PtDv9En8g\nxKcHa/ifHeVUOAMMTDHx8++nk5ZojLRrQh/kmhHxZCc3X/MRDIWoqA1QVBFuABTXNwSKKn0UV/rJ\nL/O1sKMokJZgItmmr28QGMINgvqpAllX0newmHSMH2Fj/AgbcXYrmz8r5rNjTvaedPLBP6r44B9V\nxJp1jMm2MnaolcsGW2WDHxXQXMBfvXo11dXVvPrqq7zyyisoisKaNWswmUyRdi3qOV/uZcehGrZ+\nVUOVM4BRr/DD8Yl8/5pEjAYZZhPUQ6coJNsMJNsMjCKm2bFQKEStJ0hxZUMDwEdRVbghUFrj58AZ\nLwfOuFvYjLe2bAikxod/2mJ0MlSsUWLMeq7JDc/n+/whDp1z88UJJ1987WLn4Vp2Hq5FUcIbfY0Z\nYuWyITEMSTPLiv9uoLmA/8QTT/DEE09E2o1+gdMT4Ph5DwfOuvnypIvz5eFeVYxJx3evjGf6uATZ\nQEO46CiKgi1Gjy1GT843dnN0OGycO1/V2BAorvI3jg4UV/o4UeDh2PmWNmNMOlITDI0NgPA0gYGR\nRjOhYEjWDWgEo0FhzBArY4ZYuf3bIc6Wetn7dfgRv+MFHo6d97BxB8RZdIwaFMOlg6xcOiiG1AQZ\nfewM8m3eDwiGQpTX+Dlf5iO/zMuZkjrOlJ3jXHEdDQs4TAaFK3KsfCs3jquGxcrwqKBZzEYdgxxm\nBjlarifxB0KUVfvrRwR8jWsGiit9FJT7OF3s/cYZBRj04LA3bwik1o8QOOxGGd2KEIqiNOr8g28l\nUusO8NUZN1+dcvHVaRe7jzrZfdQJhOf+Rw6M4eqRPjLjw+9lRKclEvCjAI83SJUzQEWtnwqnn/Ia\nP2XV4eHPkvqhUF+g+drMGJOOEVkWLsm0MCIrhtxMi2Z2xLrjpQMEg+qsJdXpFE3aUtue2r6te2y0\narYuJga9QlqisdX1JqFQiEpnoMnogI8qN5wtclNU5aOgopV1A0CSzdA4OtA4VZBgJC3eSIxZG3Wm\nPxAXo2f88DjGD48jFApRUOHj4Bk3B864OXzWzbYDNWw7EF4Ul2QzkDvAQm5m+JWZbJJU3kjA1wyB\nYAiPN4jbG8RdF8TlDeKqC+LyhH+id1Jc7qbWHaDGHaTWHaDaHaDaFWhc4doaVrOOzGQj6YkmMpKM\nZCabGOgwMXpYEmVltRfxEwpCZFEUhcQ4A4lxBkZkhdcNNF057fTUNwbqpwmaNgwOnfVw6KynhU1b\njK6xITBkQC1xplDjGgK7VS+9zF5CURQGJJkYkGTiprHxBEMhzpZ4OVcZ4rPDlRzNd7PrSC27joS/\n48xGhaHpZnLSLQxNNzM03UJiXP/TRwJ+GwRDIQIB8AWC+AMhfAHw+0P4AqH69yF8/iC+QAivP4Sv\n/uX1h/D6g/j8IQymGiqr66jzBanzhf9e5ws1vvf4gni8QTzeUIseeEcY9OH9rDOSjMRb9cTHGkiI\n1ZMYZyDJFn457IY2NznR8pzlm4su1eyjMP3hkZ/+SqxFz9B0PUPTWx7z+oKUVLdsCBRV+jlVXMeJ\nwjp2HG7egDYblSZrBpo/UZBkM0iPU0V0isLgVDPjLrUxIddCKBSisMLH0fzwvP/xAk+LRlu8Vc/g\nVDND0kwMrp86cCQYonoxYJ8P+Gv+kk+t00sgECIQBH8wRDAY/j0QDOEPhgN3IBgKvw+E8AepL9/k\nff05Pn84wAeCveezXheehzQbFeIselLsOiwmBYtJR4xJh9WkI8asw2rWYTXrsZp1DEiLw19XR5xF\nR1yMHotR6XetU0GIFCajjsxkE5nJLZ8WCgTDa2TqMHL0dBXFlf5m6wfOln5z3UD4OyDFHl4v4Gg6\nVRAfbhyYZA1Nj1AUJbyhU5KpcWdQV12ArwvrOFlU1/jzy1MuvjzlajzPbFTISjaRlRLWetTQEFa9\nn2RbdKwJ0FzAD4VCPP300xw5cgSTycQLL7zAwIED2yy/cVtJl+zrlPA8n0GvoNeBQaeg1yuYTDos\nJj2Ego3HG17Gpj8N4Z9GvYLREP67yRD+3WTQhX+vP5bmiMNV68ZkVDAbwgHebNRh0Hf9xgn34Lp8\nmiAIvYxep+CIN+Jw2MiKb34sFApR7Qq0mCZoWFT45Skf0PIRw8Q4PZkOC4lWXZPGgEG2Ju4BVrOe\n0YOtjB5sbfxbtSvAmZI6ThfXcabEy9kSb+OIDQBby4Dwoub0RCPpiRcaZ2nxRlLiDSTFGTQ9YtoU\nzQX8jz76CK/XS15eHvv27WPJkiW8+uqrbZZfMf8Sqqvc6HXhYepwAA9XwvCL+uAe/r29Vpr6Q7ax\nlJT04lCBIAiaRlEU4mMNxMcauGSApcVxd12wMfhfeLwwvCPhgVNOWtsHNdasu7Bw8BuPGibE6aN6\nSFpt7NaWjQB/IERhhZf8Mh+VHjh2tpbCCh+FFT7OlLQ+WpNkCwf+ZJuBRFt4nUhirJ742PB0q92q\nRwub2mou4H/++edMmjQJgMsvv5yvvvqq3fLDB8ZSYpGgKghC3yPGrGNIqrnVLavjE2M5fKKifkSg\n+TTBuVIvJ4vqWpxj1CvhJwqabk2cYOTGXtj+Olox6BWyUsxkpZibdQKDoRCVtc2f8iip8lNa7aOs\n2s/RfA/thXSTQSHOoiPWoifOosNq0ddP24ancs3G8LSuqX60uGEE2ahX0OlAr4R/QhRtrVtbW4vN\nduHDGAwGgsEgOp3MaQmC0H8wGXSN89DfpGFvjeJKf+M+A0VNRgi+uTXxjVenXSy3oxadojQuiB45\nMKbFcX8gREWtn/JaP5W1ASqdfiqd4SepqpwB3L4QFTU+Sqp9nC3tWW//r0u6l2JQc8lzXnzxRcaO\nHduYInfKlCls2bIlsk4JgiAIQh9Hc93mK6+8kq1btwKwd+9ecnNzI+yRIAiCIPR9NNfDb7pKH2DJ\nkiVkZ2dH2CtBEARB6NtoLuALgiAIgqA+mhvSFwRBEARBfSTgC4IgCEI/QAK+IAiCIPQDJOALgiAI\nQj9AAr4gCIIg9AMiHvD37dvHnDlzADhz5gyzZs1i9uzZPPPMMxH2TBAEQRCih4gG/DVr1rB48WJ8\nvvA2kEuWLOGBBx5g/fr1BINBPvroo0i6JwiCIAhRQ0QD/uDBg3nllVca3x84cIBx48YBMHnyZHbu\n3Bkp1wRBEAQhqohowJ86dSp6/YXczk33AIqNjaWmRr1UtYIgCILQn4n4HH5TmmbEczqd2O32Ds+R\njQKjD9E0uhA9owvRs++iqfS4o0aNYs+ePVx99dV88sknjB8/vsNzFEVpzFfcU5rmPtaaPa37piZa\n1VTrGqjtm1poVU+17WndN7VQU0/oXxpEWk9NBfxFixbx5JNP4vP5yMnJaUyRKwiCIAhCz4h4wM/M\nzCQvLw+AIUOGsG7dugh7JAiCIAjRh6bm8AVBEARB6B0k4AuCIAhCP0ACviAIgiD0AyTgC4IgCEI/\nIOKL9oTu88EHf+H3v1+PTqdgNltYsOAhRowY2aLcjh2fsnr1K/j9PnJyLuHRR58EbG0es1qtF/mT\nCA10V9Nly15q85hoGjmkjkYffbmOSg+/j3LmzGlWrVrJ8uX/wdq1G7j99rt44omHW5SrrKxkyZJn\n+dWvfs2GDX8iI2MAq1at7PCYcPHpiabLli1r85hoGhmkjkYffb2Oaq6H7/f7WbRoEfn5+RgMBp57\n7jmys7Mj7ZYq/P3vO/H7/VRWVjB9+vdRFIVAINBse+HPPtvNK6+sQFGUZuc++ugicnPHNL43mUws\nWrSYxMQkAEaMGElFRTl+vx+D4YKsu3fvYuTIS8nMzALg1lt/xNy5M3nxxefbPPbgg4t67f8g2tCK\npnfeOYv58x8QTXuIVvSUOqoeWtFUC3VUcwF/69atBINB8vLy2LFjB8uXL+fll1+OtFs95tVXf8uY\nMVcwceJktm7dzLp1rzN27JWkp2eQmprWWG7cuGt4/fW3W5z/zV2a0tMzSE/PaHy/cuVyJk68vtlN\nB1BcXNjMvsORisvlwul0tnnM5XLJkGEn0JKmTqcTl8slmvYALekpdVQdtKSpFuqo5gL+kCFDCAQC\nhEIhampqMBqNkXapxxw8+BUHDx5g/vwFAAwdOoy8vPWkpaUzZszYZmUbWppNURSlRUuzAY/Hw/PP\nP0VpaQm/+U3LhlEoFGrRagXQ6/XtHJOZno7QpqY60bSbaFNPqaM9QZuaRraOai7gx8bGcu7cOW6+\n+WYqKytZvXp1h+eouU+02vvCOxw2Tpw4xPXXT2q07fUmUFhYwOTJ17a43rRpNzJt2o2dsn3+/Hnu\nu28ew4YNY+XKDZhMphZlhg0bwvHjhxuvk5+fj91ux2KxtHksK8vRk4+sClrVtMGWFjXNynJoVlOt\n6tlgT4t6armO9oYGatvSoqaRrqOaC/hvvPEGkyZNYuHChRQVFXH77bfz3nvvtfqf2oAWkxs0tZeR\nMZgvv9zbaHvXrn+QlJRCKGQmP7+s3c/Wlm/V1dXcffdsbrnlB8ydew9VVXVAXYvzRowYy4svvsje\nvYHTmRIAACAASURBVIfIzMzi9dfXMWHC5HaPdfX/QO3KD9rUtKktrWl64403UlJSo1lNtahnU3ta\n01PrdbQvJKjRmqZq1tGoSJ4DEB8f3zgfYrPZ8Pv9BIPBCHvVM8aNuwan08n27dsAuOaa8Xg8Hv7+\n9x1MmdK5VuU3eeedP1FcXMQnn/yNrVs3A+EhqBUrVmG323n44QX88Ic/YsKESTz22FM88cQj+P1+\nMjMzWbz4WQASExPbPCa0j9Y0XbHi36mrE027i9b0lDrac7SmqRbqqBLSWHJjl8vF448/TklJCX6/\nnzvuuIPp06e3e47Wew9as6WWveJKH+W1fiZdkaqSVxfQ4v+bFjXoDVsN9tREy5+zv/imJlr+nP3B\nt6jp4VutVlasWNFxQSHivLW5lMPn3L0S8AVBEAR1kaWeQrepdPrRyR0kCILQJ5Cva6HbOD1BYs36\njgsKgiAIEUcCvtBtnHUBYi1yCwmCIPQFNDeHH+34/X527doBQEqKo9WkC52hs8kXVq5czpYtHxMf\nHw/AwIGDeeaZX3XJRmsEgiE83hCxZgn4amnawAsvPE1OzjBuu212q8cl0UrvopaePUmc06CZ6KkO\namm6ceMfeOedjeh0OgYMyGLRosUkJCS0KKfVOirf1heRujoPmzd/yMSJk5k4cTJr177WLTtdSb5w\n4MB+nnlmCWvXbmDt2g2Nwb68vLxHCRxcdeFHJa2W/j2kr5amAKdPn2LBgnls2fJxm2Uk0Urvopae\naiTO6WkdFcKopemRI4fJy3ub1avf4M0388jKGsiaNatalNNyHdVkwH/ttde47bbbmDFjBhs3boy0\nO6qxZctmvvOdaQA4nbXU1jZ/ROOzz3Zz552zuOuunzR77dmzq1m51pIvfPjhX1tcz+fzcfToEfLy\n1jF37iwWL36EoqJCALZv394pG23h8oQDfn/v4aulKcCmTX/kllt+wA033NTm9drTvrP3hdA2aunZ\nXpKVprSnWU/rqBBGLU2HDx9BXt4mrFYrdXV1lJQUY7fHt7ieluuo5ob0d+/ezRdffEFeXh4ul4u1\na9dG2iVV8Pl8mM1mvv76OPv3f8m2bVu4775fNCvTVgKHb9LZ5AulpSWMG3c1P/vZ/WRlDeTtt9fx\n2GMPsnbtBgoKCnqUwMFZFwDo13P4amoKsHDhI0D4C6gtJNFK76Gmnj1NnONyuXpcRwX166her2fb\nti289NLzmExmfvrTeS3KaLmOai7gf/rpp+Tm5jJ//nycTiePPPJIpF1Shf379zF69OVUV1diNptx\nOmupqqpqVqatBA7z5t3P9OlTG//W2eQLGRkDWLr0gr1Zs+bw5ptrKCws6HECB2dDD78fD+mrqWln\nkUQrvUdv6NlXk6xEC72h6aRJU5g0aQrvvfcOCxfeyx//+G6z41quo5oL+BUVFZw/f57Vq1dz9uxZ\n5s2bx/vvvx9pt3pMaWkJV145jpSUFIYOHYbT6eTAgf1ce+2ExjKdbWmmpaVz8OBXje9LSoqx2WyY\nzZZm5U6cOM7x40f57nfDOxU2bKpoMBjIyMhgz57PO7TRFs6GOfx+PKSvpqadpS3tLRZLp+8LoXXU\n1rOwsJBHH32A7OyhrFy5utXMn+1p1tM6KqiraX7+OcrKShsz7d1yyw9YtmwJ1dXV2O32xnJarqOa\nC/gJCQnk5ORgMBjIzs7GbDZTXl5OUlJSm+doPRMXgN/vbmb71KljTJ8+vUvXayg7bdpNrFr1Mm53\nBYMGDWLduv/ipptuamGrsjKOBQv+nRtumEhmZiYbNmxgxIgRjBw5lLS0BJYuXdqhjbbQfR1OGJHh\niO20/11Bq5o2taWmpk2xWIzExVlaPdaW9u0d643kRl1Fq3o2taemnlVVVSxY8G/MmDGDe++9t83y\n7Wk2ceLEHtXR3qQvZMsDdTU9fdrJs88u5t133yUhIYF33nmH3NxccnIym5XXch3VXMC/6qqrWLdu\nHXPnzqWoqAiPx0NiYmK752hxr+Om9lwuJ1u3bmPq1O9jNBo5fPggoZCekSOv6PT1mvtmZNGiJ5k3\n795myRcajjdN4PDznz/EPff8lGAwRGpqKk88ES7ncCS1a6MjikpdAAS83i7/v3QGLWra1Jb6ml7A\n4/FRW+tpdqyppq3pBhAItH9fdPWzqokW9WxqT20933rrDQoLC3n//Q/461/DI5RtJVlpS7Oe1tFv\n+qYmfWG/erU1HTx4OLNn38nMmbMwGAykpDh47rmlrX7v9nYd7a6emkueA7Bs2TJ27dpFKBTiwQcf\n5Lrrrmu3vNa/THbu/JScnEvYt+8LTCYzOp3CpElTNOFbd8n7pIy/fFbJUzMzGT9G/TzOWtS0qS2t\naSrJc3pmT2t6qm1Pq3qC1NHu2uoOmuvhAzz00EORdkFVqqurSU1NY+rUmyPtimo4PeFV+tZ+uko/\nGjXtz4ie0Ydo2pL++W19kcnMHBhpF1SnYeOd/rqXfjRq2p8RPaMP0bQlEvAvAqNHXxZpF1Sn0hlA\np/Tf5/CjUdP+jOgZfYimLemf39ZCjyms8OKIN6LXtXymVBAEQdAeEvCFLuP0BKhxB0lPbPlcsSAI\ngqBNJOALXaawwgcgAV8QBKEPodmAX1ZWxpQpUzh58mSkXRG+gQR8QRCEvocmA77f7+epp57CYpEt\nJLWIBHxBEIS+hyYD/ksvvcTMmTNJTU2NtCtCKxRUhHfXS0uQgC8IgtBX0FzA37RpE8nJyUyYMAEN\nbgLY7wmFQhw/78EWoyPJpsl9mwRBEIRW0NzWurNnz25MH3j48GGys7NZtWoVycnJEfZMACgsr+PO\nXx9iwqXxLJ6dHWl3BEEQhE6iuS7a+vXrG3+fM2cOzz77bIfBXot7HattTyu+7ThQDUC2w9B4fm9k\netLi/5tWNOhtWw321ETLn7O/+KYmWv6c/cG37uqpuSH9pvz/7d15fNTVvfDxz+z7ZN8TQgiEfRFQ\nqQKiVq+i7a11o261etun+nifXu21Vm0revVive1tb/uoL1tqvVJ76aK12qfW1qq4gCIoOwQIEJIQ\nsk9mX34zv+ePISEIWUgmzG+S7/v1mpeGmTlzZr5z5vs753d+5/T09IV27GoIATCtwpbmmgghhDgd\nmuvh9/X888+nuwqij6iS4JO6IDlOA+X55nRXRwghxGnQdA9faMvWg0GCkQSfmeZCL6MvQgiRUSTh\niyFbtz15/um86c4010QIIcTpkoQvhuRQa4Rth4JMLbMyocCS7uoIIYQ4TZLwxaBUVeXF9zsB+Ny5\nOWmujRBCiOGQhC8GtXl/gK0Hg0yvsDK7UmbnCyFEJpKELwbU6VN49m9tGA3w5YsL5FJJIYTIUJq7\nLE9RFB544AGampqIxWJ8/etf56KLLkp3tcalUDTBj//YjD+c4JaL8inNlUvxhBAiU2ku4b/yyivk\n5OTwxBNP4PF4uOqqqyThp0EwEuc/Xz7KodYoF8xycfFcd7qrJIQQYgQ0l/Avv/xyLrvsMiA5Wcxo\n1FwVx7yWrhg/fqWZpo4Y5051cutnZSh/rAuE47R4YrR6YvhCCW64NPXLJQsh0ktzm+f08Pv93Hnn\nnaxYsYLly5enuzrjgqqq/HVzJ8/8qYlQJME/npfPV68ow6CXZJ/pEgmVTl+MIx1RmjsjNPf+N/n/\n/nD8hMe/tmpemmoqhBgtmuw+Nzc3c9ddd3HTTTcNKdlrcXODVJc32nU7cDTM/6zroLYpjNWs439d\nVsj5M1x0dviHVFaqafFz0/r3o/mol3ZvjFaPQmt3LNlj70722ls9CrH4ycf2RgMUZJmoLrFQlG2i\nMNtEaa4pJXXqa7zEQMt1S6XReJ+RWIKmjihNHVGOdsVo9yp0+RW6g3GCkQThaIKYopJQQQcYDGA2\n6rGadDisBpw2PUW5NuwmlXy3kYIsI8XZZvKzjMPutGj1+zHceGou4be3t3P77bfzve99j0WLFqW7\nOmOaqqrUNoX5fx952HowCMCCagc3XZRPnux1r0nhaOJ4MvfEaO1WaPXE6PDFafFEOdV4nc2spzTP\nlEzoWcmk3pPcc5wGWSb5GFVViSrJW0xRiSeSyQUV0IFeBwa9DpNRh/nYTU51DV8gHGfX4RCH1nez\ntc5LY3s0+Xn3oQMcVj0Oq4EchwGTUY9elwxJPJ6MVSiaoN2r0NCeYHdD+KTXMRqgJMdMRb6ZCYUW\nJhaamVhkwW4xnJH3qSWa+1V/5pln8Hq9PPXUUzz55JPodDpWr16N2SwzxFPFG1R4//02/vxBGw3t\nUQBqyqxcfV4u02UXvLRSVRVfKEFbn6Te0iexdwfjp3xejsvI5BLrsURupDDreFJ3WvXjOjEFwnHa\nuhXavTE6fAoefxxPINlzDMWg2x8jGEkQiiZOecDUH50ueTBlt+hxWPXkui3YTSrZDiPZTgN5LiP5\nbhMFWUYc1vGXXE7FG4yzca+fj/b5qW0M9yZ4k0FHdYmViYUWyvPNFOckP7dshxGjYWjf3ZiiYrRZ\n2V/fTVt3cnTraFeMI53JU1kN7VHW7zk+YlmSa2JyiZWaUis1ZVaKc0xjvp1oLuE/+OCDPPjgg+mu\nxpjT1h1jy4Egm+sC7GkIkVDBoIdzahxcelYWNWWS6M+UREKl06/Q5PWx95D3+LB7d3LoPRRNnPQc\nvQ7y3EZmVdp6e+mFWcbepF5empXSYdZMo6oqXf44De0RGtujyR/5zuTQcCB88ufZw2JKJus8lxGb\nJTk8bDbqMRp0GAyg1+nQ6yChQkJVicdBiatElQThmEookiAQSdDcGaO+Ndrv6ziseopzTJTmminN\nNVGeb6Yi30KO0zDmk0xCVdl+KMhb27xsPRgkfiwck4otzKuyc/7cfHIs8SEn9v6YjDoKss3oYlam\nlFpPqkOrJxmjQy0RDrSEOXg0wrudPt7dmWw3bruBaeVWppXbmDHBRklO6k9tpZvmEr5IDY9fobYp\nzJ7GELsOh2juivXeV11s4bML85ldbsRtl6/AaIgpKm3envPnyR56T4+9zRtDOUVH3WzUUZhloiDb\neOLwe5aJPPfQezrjgS8Up645TF1zhIMtYQ62RPCFTkzsBn1yfsLkEisFWUYKskzkuYzkOI1kOwy4\n7YaUHii5shwcOOzBE4jT5Vfo8Cm0dcdoOxb7Qy0R6pojJz7HpqeqyEJVkZXqEgvVJVZctrExGhBT\nVN7b5eO1zR6OHvv9mVBgZvEMF+fUOMk9dtqwoMAx6gerep2O4hwzxTlmzp2a3PwrkVBp7IiytynM\n3qYwtY0hNu4NsHFvAIAcp4H5U9xMLjIxc4KNbGfm/1Zm/jsQBMJx6luj1LdGONASoa45TLtX6b3f\nYtIxb5KduVV2zprkINdlTPkEo/EoFEnQ0t1n2L1nCL5bocuncKrRYYdVz4R8C4XZJiaWOnCaEr29\n9GzH2O/tDZcnoLC7IUT9ex627PdypDN2wv35biM1pTYmFJopzzdTlmemMMt0Rg+SrGY9BVkmCrJO\n3TNU4ipt3TEaO6I0tkc53Bqlvi3CtkMhth0K9T6uNNfE1HIb50xXKMuGbEdm/UwrcZV3d/r44wed\ndPrjGA2weIaLz85zM6nYOngBZ4her2NCgYUJBRY+Oy8LVVVp9Sjsagglb4eD/P2TLv5+7PHleWZm\nTbQxu9LO1DIrZlPmLVSbWd+kcc4fitPcFaO5Mzlk2XTsvFSnTznhcU6rnrlVdmrKksNTVUUW6R0O\ng6qqdAfjvT10f9TPwSOB3uH3T/coe+Q4DUwttx4feu+ZJPepc7ly0NW/mKJS2xRi26EgOw6FaOw4\nPlxuNemYOcHGlNJkr3hScWb0io0GHSW5ZkpyzZw95fi/+0JxDh6NsL85zL4jYeqaw7y1zctb27zA\n8UQzZ6KdqWU2TEbttuWtBwL8el0HzV0xzEYdly3I4vIF2eRkQO9Yp9NRlGOiKMfEhXPcJFSVQNzE\nu1va2VEfpLYxTOPmKH/Z3I3JoGNquZXZlXZmVdoozzdnxMG69qMwjihxlU6fQrs3OcGorVvpPb/b\n5lXwnmLCVrbDwOxKGxMKLFQWWagqslCYZcyIL58WxBPJz/xUE+Rau2NEYif30w16yHebjn3WJgpz\nksPuhdkmCtzGjDzy1wJ/KM6Wg0E+3h9ge32w97M3GXTMqrQxc4KNz8zOI8scH1NrQ7hsBuZU2ZlT\nZQeS38lDLREauhJs3O05IdFYTDpmV9qZP9nBvCo7To0c6HT4FJ5/s41P6oLodHDRHDdfWJST0cPg\nep2OSSU2XMZsli/MJhpLsPdImO2HguyoD/XeALIcBmZOsB272XtPV2iNNms1xqiqSjCSoDsY750h\n3OVX6PInz/V1+pI3TyB+ymFggx6Kc5PJvO/En7I8s2YavJZFY4lkEv/08PuxmdvxU3TUrSbdCefR\nC7ON1FRmYSFGnsuIfgwlnHTyheJs3h9g414/uw6HemdtF2Wbek9D1ZRZMRuTB1Fn4nxvuhn0yRnr\ni+a4WDbDTlRJsLcpzNaDQbYcCLJpf4BN+wMY9DC9wsbZU5wsnOJIyyiHqqq8td3L2nUdhGMq08qt\n3HJRPuX5ljNel9FmNumZVWlnVmXywMzjV9heH2RnfYidh0Os3+1n/e7kVQDFOSZmVNiYVmFjWplV\nMwc+2qhFH6qqsnLlSmprazGbzTz22GNUVFSku1onicYS+MMJvKE4/lAcbzCOr89/u4NxgtFmOrqj\ndAfip1z0pIdBD7kuIzVlVvLcxy7lObZwRM9Eo6Ii95j/oRsJfyjeZ7b78R57uy9Ohzd2yue4bHom\nFll6e+c959ILs4y47SefT5ch+NSIxhJ8fCDI+t0+th/qM2u7yMKCKQ7mVzsozR37l0gNldl4PNHc\ncIHKkc4YH9cF2Lwv0NvLfP7NNmZPtHPeNCfzqx1nZJTJG1T4+ettbD0YxG7R80+X5rNkpmvcxC3b\naWTJTDdLZrpRVZWG9ii7DieTf21jiDe3eXnz2GmZomwTc6pdlOcYqC6xUJZnTssoleYS/htvvEE0\nGmXt2rVs3bqVVatW8dRTT43KayUSyZ53z62xG5pb/AQiCQLhOIFw8pIbfyj5//5wHH84+XdUGfyC\nXaNBh8umpyzfTJbdQLbD0HuNbo7TeOyWnC0si58MLKGqePzxE3vpPUPvnhiByMnddB1QkG1iekXy\n+vSi7OSEqp6Z7zaLDL2fKaqqcuBohHU7vHxYG+i99LCy0MyiqU7OqXH2O9lNHKfT6SjLS05K/Nw5\nObR1x9i4188HtX62HEiOANjMes6d6uCCWW4mFVtGJQHvaQj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Bvheif6mO58sv/57W1hbe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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff243245048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "params = [0.5, 1, 2, 3]\n",
    "x = np.linspace(0, 1, 100)\n",
    "f, ax = plt.subplots(len(params), len(params), sharex=True, \n",
    "  sharey=True)\n",
    "for i in range(4):\n",
    "    for j in range(4):\n",
    "        a = params[i]\n",
    "        b = params[j]\n",
    "        y = stats.beta(a, b).pdf(x)\n",
    "        ax[i,j].plot(x, y)\n",
    "        ax[i,j].plot(0, 0, label=\"$\\\\alpha$ = {:3.2f}\\n$\\\\beta$ = {:3.2f}\".format(a, b), alpha=0)\n",
    "        ax[i,j].legend(fontsize=12)\n",
    "ax[3,0].set_xlabel('$\\\\theta$', fontsize=14)\n",
    "ax[0,0].set_ylabel('$p(\\\\theta)$', fontsize=14)\n",
    "plt.savefig('B04958_01_04.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zz/8xtm13LZd83zdK7+yrfzc1NiZ7si17pba29KCOv7dtuOeeO6iuruHEE0/q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\n8l0rQHfu8LfmuVYQqpDA0IRWiG+GXX9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qxo//R3MxA5Cbm0t2dicef/wZDMPg449n06vX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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff243552518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta_real = 0.35\n",
    "trials = [0, 1, 2, 3, 4, 8, 16, 32, 50, 150]\n",
    "data = [0, 1, 1, 1, 1, 4, 6, 9, 13, 48]\n",
    "\n",
    "beta_params = [(1, 1), (0.5, 0.5), (20, 20)]\n",
    "dist = stats.beta\n",
    "x = np.linspace(0, 1, 100)\n",
    "\n",
    "for idx, N in enumerate(trials):\n",
    "    if idx == 0:\n",
    "        plt.subplot(4,3, 2)\n",
    "    else:\n",
    "        plt.subplot(4,3, idx+3)\n",
    "    y = data[idx]\n",
    "    for (a_prior, b_prior), c in zip(beta_params, ('b', 'r', 'g')):\n",
    "        p_theta_given_y = dist.pdf(x, a_prior + y, b_prior + N - y)\n",
    "        plt.plot(x, p_theta_given_y, c)\n",
    "        plt.fill_between(x, 0, p_theta_given_y, color=c, alpha=0.6)\n",
    "\n",
    "    plt.axvline(theta_real, ymax=0.3, color='k')\n",
    "    plt.plot(0, 0, label=\"{:d} experiments\\n{:d} heads\".format(N, y), alpha=0)\n",
    "    plt.xlim(0,1)\n",
    "    plt.ylim(0,12)\n",
    "    plt.xlabel(r\"$\\theta$\") \n",
    "    plt.legend()\n",
    "    plt.gca().axes.get_yaxis().set_visible(False)\n",
    "plt.tight_layout()\n",
    "plt.savefig('B04958_01_05.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
     ]
    },
    {
     "data": {
      "image/png": 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FYMc+9mqJKHgwaINIfZsdbx9oQ4xBgY2L/X/I+GJzMnVIS1Bjf0kXzjbZpC6HiMgrGLRB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\nIiIiH2LQEhER+dD/B4rCylFJ5rO6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd327b7f710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def naive_hpd(post):\n",
    "    sns.kdeplot(post)\n",
    "    HPD = np.percentile(post, [2.5, 97.5])\n",
    "    plt.plot(HPD, [0, 0], label='HPD {:.2f} {:.2f}'.format(*HPD), \n",
    "      linewidth=8, color='k')\n",
    "    plt.legend(fontsize=16);\n",
    "    plt.xlabel(r\"$\\theta$\", fontsize=14)\n",
    "    plt.gca().axes.get_yaxis().set_ticks([])\n",
    "\n",
    "    \n",
    "np.random.seed(1)\n",
    "post = stats.beta.rvs(5, 11, size=1000)\n",
    "naive_hpd(post)\n",
    "plt.xlim(0, 1)\n",
    "plt.savefig('B04958_01_07.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/osvaldo/anaconda3/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
      "  y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
     ]
    },
    {
     "data": {
      "image/png": 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G7LMvgwVGSkwPy07pmybeVc1zYtXi2Bad+C9wknGrDn0VA5bGxB+Q8Hl5L5LN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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd324334dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(1)    \n",
    "gauss_a = stats.norm.rvs(loc=4, scale=0.9, size=3000)\n",
    "gauss_b = stats.norm.rvs(loc=-2, scale=1, size=2000)\n",
    "mix_norm = np.concatenate((gauss_a, gauss_b))\n",
    "\n",
    "naive_hpd(mix_norm)\n",
    "plt.savefig('B04958_01_08.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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OHEeNGr5MmvRzrm6gCRN+JCQklBkzpvL116NwcHDgt99m4OlZMt979ezZh+HD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\n/wMpMmWuMi5SuAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff23f5dad30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from plot_post import plot_post\n",
    "plot_post(mix_norm, roundto=2, alpha=0.05)\n",
    "plt.legend(loc=0, fontsize=16)\n",
    "plt.xlabel(r\"$\\theta$\", fontsize=14)\n",
    "plt.savefig('B04958_01_09.png', dpi=300, figsize=(5.5, 5.5))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
